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# Such frequency distributions are called univariate

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Unformatted text preview: scribed frequency distribution involving one variable only. Such frequency distributions are called univariate frequency distribution. In many situations simultaneous study of two variables become necessary. For example, we want to classify data relating to the weights are height of a group of individuals, income and expenditure of a group of individuals, age of husbands and wives. The data so classified on the basis of two variables give rise to the so called bivariate frequency distribution and it can be summarized in the form of a table is called bivariate (two-way) frequency table. While preparing a bivariate frequency distribution, the values of each variable are grouped into various classes (not necessarily the same for each variable) . If the data corresponding to one variable, say X is grouped into m classes and the data corresponding to the other variable, say Y is grouped into n classes then the bivariate table will consist of mxn cells. By going through the different pairs of the values, (X,Y) of the variables and using tally marks we can find the frequency of each 62 cell and thus, obtain the bivariate frequency table. The formate of a bivariate frequency table is given below: Format of Bivariate Frequency table x-series Class-Intervals Mid-values Marginal Frequency of Y MidValues Class-intervals y-series fy Marginal frequency of X fx Total fx= fy=N Here f(x,y) is the frequency of the pair (x,y). The frequency distribution of the values of the variables x together with their frequency total (fx) is called the marginal distribution of x and the frequency distribution of the values of the variable Y together with the total frequencies is known as the marginal frequency distribution of Y. The total of the values of manual frequencies is called grand total (N) Example 5: The data given below relate to the height and weight of 20 persons. Construct a bivariate frequency table with class interval of height as 62-64, 64-66… and weight as 115-125,125-135, write...
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